311303980 has 192 divisors, whose sum is σ = 800150400. Its totient is φ = 100638720.

The previous prime is 311303963. The next prime is 311303987. The reversal of 311303980 is 89303113.

It is not an unprimeable number, because it can be changed into a prime (311303987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5873634 + ... + 5873686.

It is an arithmetic number, because the mean of its divisors is an integer number (4167450).

Almost surely, 2^311303980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311303980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400075200).

311303980 is an abundant number, since it is smaller than the sum of its proper divisors (488846420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311303980 is a wasteful number, since it uses less digits than its factorization.

311303980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 311303980 is about 17643.8085457761. The cubic root of 311303980 is about 677.7375645964.

The spelling of 311303980 in words is "three hundred eleven million, three hundred three thousand, nine hundred eighty".